-23=2(k-7)-(7k-6)

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Solution for -23=2(k-7)-(7k-6) equation:


Simplifying
-23 = 2(k + -7) + -1(7k + -6)

Reorder the terms:
-23 = 2(-7 + k) + -1(7k + -6)
-23 = (-7 * 2 + k * 2) + -1(7k + -6)
-23 = (-14 + 2k) + -1(7k + -6)

Reorder the terms:
-23 = -14 + 2k + -1(-6 + 7k)
-23 = -14 + 2k + (-6 * -1 + 7k * -1)
-23 = -14 + 2k + (6 + -7k)

Reorder the terms:
-23 = -14 + 6 + 2k + -7k

Combine like terms: -14 + 6 = -8
-23 = -8 + 2k + -7k

Combine like terms: 2k + -7k = -5k
-23 = -8 + -5k

Solving
-23 = -8 + -5k

Solving for variable 'k'.

Move all terms containing k to the left, all other terms to the right.

Add '5k' to each side of the equation.
-23 + 5k = -8 + -5k + 5k

Combine like terms: -5k + 5k = 0
-23 + 5k = -8 + 0
-23 + 5k = -8

Add '23' to each side of the equation.
-23 + 23 + 5k = -8 + 23

Combine like terms: -23 + 23 = 0
0 + 5k = -8 + 23
5k = -8 + 23

Combine like terms: -8 + 23 = 15
5k = 15

Divide each side by '5'.
k = 3

Simplifying
k = 3

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